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13756424157 = 35717475721
BaseRepresentation
bin11001100111111001…
…00101111111011101
31022111201010202100000
430303330211333131
5211133121033112
610153011524513
7664616450610
oct146374457735
938451122300
1013756424157
11591a163093
1227babb9739
1313b3008568
14946dd0177
15557a6c7dc
hex333f25fdd

13756424157 has 48 divisors (see below), whose sum is σ = 24935444352. Its totient is φ = 7398397440.

The previous prime is 13756424141. The next prime is 13756424159. The reversal of 13756424157 is 75142465731.

13756424157 is a `hidden beast` number, since 1 + 3 + 75 + 6 + 424 + 157 = 666.

It is not a de Polignac number, because 13756424157 - 24 = 13756424141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13756424159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208944 + ... + 266777.

It is an arithmetic number, because the mean of its divisors is an integer number (519488424).

Almost surely, 213756424157 is an apocalyptic number.

13756424157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13756424157 is a deficient number, since it is larger than the sum of its proper divisors (11179020195).

13756424157 is an equidigital number, since it uses as much as digits as its factorization.

13756424157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475760 (or 475748 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

Adding to 13756424157 its reverse (75142465731), we get a palindrome (88898889888).

The spelling of 13756424157 in words is "thirteen billion, seven hundred fifty-six million, four hundred twenty-four thousand, one hundred fifty-seven".

Divisors: 1 3 7 9 17 21 27 51 63 81 119 153 189 243 357 459 567 1071 1377 1701 3213 4131 9639 28917 475721 1427163 3330047 4281489 8087257 9990141 12844467 24261771 29970423 38533401 56610799 72785313 89911269 115600203 169832397 218355939 269733807 509497191 655067817 809201421 1528491573 1965203451 4585474719 13756424157